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Finding the Fourth Proportional to 429,422.60, 592,591.80 and 238,431.08

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Solution

The fourth proportional to 429,422.60, 592,591.80 and 238,431.08 is: 329,028.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,422.60 : 592,591.80 = 238,431.08 : x
  2. Step 2: Convert to fraction form
    429,422.60/592,591.80 = 238,431.08/x
  3. Step 3: Cross multiply
    429,422.60x = 592,591.80 × 238,431.08
  4. Step 4: Simplify right side
    429,422.60x = 141,292,302,873.14
  5. Step 5: Solve for x
    x = 141,292,302,873.14/429,422.60
  6. Step 6: Final answer
    x = 329,028.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.